Systems of singular integral equations by N. P. Vekua

Cover of: Systems of singular integral equations | N. P. Vekua

Published by P. Noordhoff in Groningen .

Written in English

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Subjects:

  • Integral equations.

Edition Notes

Book details

Statement[by] N.P. Vekua. Translated from the Russian by A.G. Gibbs and G.M. Simmons. Edited by J.H. Ferziger.
Classifications
LC ClassificationsQA431 .V413
The Physical Object
Pagination216 p.
Number of Pages216
ID Numbers
Open LibraryOL5529993M
LC Control Number67004930

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Singular integral equations play important roles in physics and theoretical mechanics, particularly in the areas of elasticity, aerodynamics, and unsteady aerofoil theory. They are highly effective in solving boundary problems occurring in the theory of functions of a complex variable, potential theory, the theory of elasticity, and the theory Cited by: Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics (Dover Books on Mathematics) Only 1 left in stock - order soon.

This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal by: S. Terracini, On positive entire solutions to a class of equations with a singular coefficient and critical exponent, \emph{Adv.

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The one dimensional singular integral equation with the Cauchy. Systems of singular integral equations. Groningen, P. Noordhoff [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: N P Vekua.

Alexander G. Kyurkchan, Nadezhda I. Smirnova, in Mathematical Modeling in Diffraction Theory, Derivation of CBCM Integral Equations. The CBCM integral equations are obtained according to the same scheme as the singular integral definiteness, we assume that the boundary S is piecewise smooth.

As S δ we take a piecewise smooth surface containing S and lying at a. Singular Integral Equations Boundary problems of functions theory and their applications to mathematical physics The Hilbert Problem for Several Unknown Functions and Systems of Singular Integral Equations.

Front Matter. Pages About this book. Introduction. In preparing this translation for publication certain minor. () Galerkin's method for operator equations with nonnegative index — With application to Cauchy singular integral equations. Journal of Mathematical Analysis and Applications() On the numerical solution of Cauchy type singular Systems of singular integral equations book equations by the collocation by: Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts.

Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce andBrand: Springer-Verlag Berlin Heidelberg.

Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds.

The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral Systems of singular integral equations book, and systems of these equations, are handled in this part by using many different computational schemes.

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Arman Aghili currently works at the Department of Applied Mathematics, University of Guilan. The current project: Mellin - Barnes, Mehler - Fock and Kontorovich - Lebedev integral transforms with.

Linear Integral Equations: Theory and Technique is an chapter text that covers the theoretical and methodological aspects of linear integral equations. After a brief overview of the fundamentals of the equations, this book goes on dealing with specific integral equations with separable kernels and a method of successive approximations.

This paper aims to present a Clenshaw–Curtis–Filon quadrature to approximate thesolution of various cases of Cauchy-type singular integral equations (CSIEs) of the second kind witha highly oscillatory kernel function.

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The book is divided into four chapters, with two useful appendices, an excellent bibliography, and an index. A section of exercises enables the student to check his progress.

Contents include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, Types of Singular or Nonlinear Integral Equations, and more. The book is divided into four chapters, with two useful appendices, an excellent bibliography, and an index.

A section of exercises enables the student to check his progress. Contents include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, Types of Singular or Nonlinear Integral Equations, and : ☯ Full Synopsis: "The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of.

The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's.

integral equations, this new book encompasses recent developments including some preliminary backgrounds of formulations of integral equations governing the physical situation of the problems. Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts.

singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. This book is intended for scholars and researchers in the fields of.

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Using the properties of the related orthogonal polynomials, approximate solutions of systems of simultaneous singular integral equations are obtained, in which the essential features of the singularity of the unknown functions are preserved.

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From the book reviews: “The book is devoted to the study of nonlinear Volterra and Fredholm integral equations. This extremely clear, well-written and self-contained monograph offers to a wide class of readers a valuable theoretical foundation in the theory of nonlinear integral equations and their applications to nonlinear boundary value problems encountered in various Author: Ravi P.

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The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid.

Obaiys, SJ, Abbas, Z & Ahmad, AFNumerical solution for systems of second-ordered singular integral equations and their physics representation. in FAA Nifa, CK Lin & A Hussain (eds), Proceedings of the 3rd International Conference on Applied Science and Technology vol.AIP Conference Proceedings, vol.

3rd Author: Suzan Jabbar Obaiys, Zulkifly Abbas, Ahmad F. Ahmad. This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact by: Methods of Singular Integral Equations Abduhamid Dzhuraev Considers the class of singular integral equations on bounded two-dimensional multiply connected domains on the plane, and their applications to the theory of general elliptic systems of partial differential equations.

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Chapt 11, and 12 are concerned with the systems of Volterra in- tegral and integro-differential equations, systems of Fredholm integral and integro-differential equations, and systems of singular integral equations and systems of weakly singular integral equations respectively.

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The method of boundary integral equations is developed for solving the nonstationary boundary value problems (BVP) for strictly hyperbolic systems of second-order equations, which are characteristic for description of anisotropic media dynamics.

The generalized functions method is used for the construction of their solutions in spaces of generalized vector functions of different dimensions.

The book also includes some of the traditional techniques for comparison. Using the newly developed methods, the author successfully handles Fredholm and Volterra integral equations, singular integral equations, integro-differential equations and nonlinear integral equations, with promising results for linear and nonlinear models.

Book Description. Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology.

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